Q:

How do you find the nth term of fractions?

A:

To find the nth term of a fraction, find the pattern in the first few terms of the sequence for the numerator and denominator. Then write a general expression for the sequence of fractions in terms of the variable "n."

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1. Find the pattern in the numerator

First find the pattern in the numerators of the fraction sequence. It is helpful to make a chart. For example, in the fraction sequence 2/3, 3/5, 4/7, 5/9, the numerator starts with 2 and then increases by 1 each time.

2. Find the pattern in the denominator

Use the same process to find the pattern for the denominator. To continue the example, the denominators start with 3 and increase by 2 each time.

3. Write the general expression

Write a general expression for the fraction sequence that shows the pattern, using "n" as the variable. The example numerator sequence is n +1. The denominator sequence is 2n + 1. Thus, the entire general expression is (n + 1) / (2n + 1).

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Related Questions

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To reduce or simplify fractions, look for common factors in the numerator (the term on top) and the denominator (the term on the bottom). Divide both terms by the greatest common factor to reduce the fraction to its lowest terms.

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To solve complex fractions, begin by resolving the numerator (top term) and denominator (bottom term) into one fraction each, flip the bottom fraction and multiply across. Simplify where possible to arrive at the final answer.

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Improper fractions are those in which the numerator (top number) is larger than the denominator (bottom number). According to Math is Fun, improper fractions are better for use in mathematical formulae, but mixed fractions are better for understanding and spoken language. When dealing with formulae or math operations, wait until you have made all the other manipulations before converting a fraction to a mixed number for your final answer.